Arithmetic Sequence Terms

Question

Suppose an arithmetic sequence is defined by this explicit formula.

an = 20 + (n − 1)4
Question 1

Question 2
Determine a50.
Responses

A196
196
B216
216
C264
264
D280

Answer 1

To determine the 50th term of the arithmetic sequence, we can substitute n = 50 into the explicit formula.

a50 = 20 + (50 - 1)4
= 20 + 49 * 4
= 20 + 196
= 216

Therefore, the 50th term of the arithmetic sequence is 216. The correct answer is B.